This intensive course will have a total of 40 hours of lectures and is
at postgraduate level. Lecturers will have time available to discuss with
the students. Successfully participating students will get a certificate.
This course is organized by the Universities of Coimbra and Aveiro with
the same goals as the ones organized under the programme Socrates, and
is open to all young mathematicians interested in Complex Analysis and
its applications.

There will be an
Workshop
on "Applications and Generalizations of Complex Analysis" on the 15th
of March.

Contents: Hermite-Padé approximation is
simultaneous rational approximation of a vector (f1,… ,fr)
of r functions with interpolation conditions at a given point
in the complex plane. In this course the following aspects will be covered:

Padé approximation of a function. Relation with orthogonal polynomials.

Abstract: The presented series of lectures offers a
description of basic facts of quaternionic analysis. We shall describe
properties of solutions of the Fueter equation and its third power. The second
topic of the series will be the Radon transform, its inversion and its
applications for study of quaternionic functions in quaternionic analysis.

Abstract: This course aims to give a proof of the Prime Number
Theorem with error term emphasizing the use of Complex Analysis. We shall also
discuss some other results and problems in Number Theory related to Complex
Analytic thechniques. In particular the original formulation to the so called "circle
method"due to Hardy and Littlewood.

Probably lectures notes will be available to the participants at the
beginning of the course.

This intensive course follows the seven held in Coimbra and Aveiro from
1995 to 2002
and there are plans for intensive courses in the following
years. The lecture
notes
of some of the courses have been published in Coimbra and others are
in print.